Integral Methods in Science and Engineering

Error Bounds for Galerkin Approximations of Weakly Singular Integral Operators.- Construction of Solutions of the Hamburger#x2013;L#x00F6;wner Mixed Interpolation Problem for Nevanlinna Class Functions.- A Three-Dimensional Eutrophication Model: Analysis and Control.- An Analytical Solution for the Transient Two-Dimensional Advection#x2013;Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique.- A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in -Layered Media.- Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient.- Optimal Control and Vanishing Viscosity for the Burgers Equation.- A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches.- Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation.- Solution Estimates in Classical Bending of Plates.- Modified Newton#x2019;s Methods for Systems of Nonlinear Equations.- Classification of Some Penalty Methods.- A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere.- High-Order Methods for Weakly Singular Volterra Integro-Differential Equations.- Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure.- A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind.- Homogenized Models of Radiation Transfer in Multiphase Media.- A Porous Finite Element Model of the Motion of the Spinal Cord.- Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in #x211D; over Planar Structures.- Boundary Integral Solution of the Time-Fractional Diffusion Equation.- Boundary Element Collocation Method for Time-Fractional Diffusion Equations.- Wavelet-Based H#x00F6;lder Regularity Analysis in Condition Monitoring.- Integral Equation Technique for Finding the Current Distribution of Strip Antennas in a Gyrotropic Medium.- A Two-Grid Method for a

"The present booka ]focuses on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Actually, its aim is to showa ]research work in which integration, in one form or another, is the main investigative tool.

A lot of problems are solved in areas such as solid mechanics, fluid dynamics, thermoelasticity, plates and shells, liquid crystals, diffusion and diffraction theory, Hamiltonian systems, resonance, nonlinear waves, plasma, flight dynamics and structural networks.a ] Generally, this book provides new results in the study of various physical and mechanical models and offers illustrations of efficient methods with numerical results and analytical methods. It can be useful to researchers and practitioners in applied mathematics, mechanical engineering and theoretical physicists, interested in current research in ordinary and partial differential equations, integral equations and numerical analysis."

a "Memoriile Sectiilor Stiintifice